Regularity and identification for an integrodifferential one-dimensional hyperbolic equation
Articolo
Data di Pubblicazione:
2009
Citazione:
Regularity and identification for an integrodifferential one-dimensional
hyperbolic equation / A. Lorenzi, E. Sinestrari. - In: INVERSE PROBLEMS AND IMAGING. - ISSN 1930-8337. - 3:3(2009), pp. 505-536. [10.3934/ipi.2009.3.505]
Abstract:
In this paper we determine a (possibly) non-continuous scalar relaxation
kernel of bounded variation in an integrodifferential equation related
to a Banach space when a nonlocal additional measurement involving the state function is available. We prove a result concerning global existence and uniqueness.
An application is given, in the framework of space of continuous functions, to the case of one-dimensional hyperbolic second-order integrodifferential equations
endowed with initial and Dirichlet boundary conditions.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
recovering an unknown kernel ; linear second-order integro-differential equations in Banach spaces ; Hille-Yosida semigroups ; existence and uniqueness results ; application to linear hyperbolic integro-differential equations in one dimension
Elenco autori:
A. Lorenzi, E. Sinestrari
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